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The coordinate of point R is 11/40, so the correct option is C.
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How to find the coordinate of point R?</h3>
On the number line we can see that:
M = -1/4
T = 5/8
There are 5 segments between T and M, and the difference between T and M is:
5/8 - (-1/4) = 5/8 + 2/8 = 7/8
The measure of each segment will be equal to:
m = (7/8)/5 = 7/(8*5) = 7/40
Now, coordinate R is 2 segments to the left of T, so the coordinate of point R is given by:
R = 5/8 - 2*(7/40)
R = 25/40 - 14/40 = 11/40
The correct option is C.
If you want to learn more about number lines:
brainly.com/question/4727909
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9514 1404 393
Answer:
Step-by-step explanation:
The slope of the given line can be found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (4 -1)/(3 -2) = 3/1 = 3
The slope of the perpendicular line is the opposite reciprocal of this:
perpendicular slope = -1/m = -1/3
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Choices (c) and (d) have x-coefficients that are -1/3. Those are the perpendicular lines.
Answer:
Step-by-step explanation:
6th term of the arithmetic sequence 2x+3-2x+10-6x+17 is 20.
Answer:0.246ft/s
Step-by-step explanation: when the the worker starts moving and stops 10 feets away from lateral rope connecting the load, it forms a right angle triangle as see in the pix.
V = s/t ... equ 1
S= distance traveled by worker while pulling the rope = 10 ft
V = velocity of worker = 2ft/s
T = time taken the worker to move 10 ft = time taken for the load to move up = 5seconds
Use Pythagoras theorem to determine distance from pulley to new position of worker
Square root of (40^2 + 10^2) = 41.23ft
Distance traveled by load = D = 41.23 - 40
=1.23ft
Speed of load = D/ t...equ2
Substituting D and the into equ2
S.l = speed of load = 1.23/5 =0.246ft/s